Finding the Third Proportional to 14,826 and 32,568

Step by Step Solution

1. Step 1: Write the proportion equation
   14,826 : 32,568 = 32,568 : x
2. Step 2: Convert to fraction form
   14,826/32,568 = 32,568/x
3. Step 3: Cross multiply
   14,826x = 32,568 × 32,568
4. Step 4: Simplify right side
   14,826x = 1,060,674,624
5. Step 5: Solve for x
   x = 1,060,674,624/14,826
6. Step 6: Final answer
   x = 71,541.52